Mathematics for IGCSE & O level - Mensuration (Section 7)
1
If the length and width of a rectangle are given in millimeters, what is the correct unit to state the area?
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(C)
mm²
2
A sphere has a surface area of 1274 cm². Calculate its radius.
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(A)
10 cm
3
Which of the following is a unit of volume?
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(C)
cm³
4
Find the radius of a sphere with a surface area of 153.9 cm².
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(A)
2 cm
5
A trapezium has parallel sides of 6 cm and 10 cm, and a height of 4 cm. What is the area of the trapezium?
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(B)
16 cm²
6
Calculate the base area of a cone with slant height 8.3 cm and curved surface area 52 cm²
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(A)
25 cm²
7
Calculate the volume of a sphere with radius 6cm.
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(A)
904.3 cm³
8
The volume of a cone is 50 cm³. If you triple the radius and keep the height the same, what is the new volume?
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(C)
300 cm³
9
Which of the following is an example of a 3-dimensional shape?
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(C)
A sphere
10
What is the area of a triangle with a base of 8 cm and a height of 5 cm?
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(A)
20 cm²
11
In calculating the volume of a prism, what is a key factor?
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A
C
12
A shape is made from a combination of rectangles. How would you find the area?
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(B)
Add the areas of the individual rectangles.
13
How many sides does a cube have?
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(B)
6
14
What units are used to measure the perimeter of a shape?
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(C)
Linear units
15
A solid cone has base radius of 6.5 cm and a height of 6.3 cm. Calculate its total surface area.
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(C)
334.4 cm²
16
If you need to calculate the amount of paint required for a wall, what are you calculating?
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(B)
Area
17
A cone has base radius 5 cm and a perpendicular height of 12 cm. Calculate for curved surface area.
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(A)
154.5 cm²
18
Which of the following can be used to calculate the circumference of a circle?
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A
B
19
If the radius of a circle is 7cm, what is its approximate circumference?
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(A)
44 cm
20
What is the area of a triangle with a base of 4 meters and a height of 6 meters?
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(B)
12 m²
21
A cone has a base radius of 5 cm and a perpendicular height of 12 cm. Calculate for curved surface area.
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(B)
204.2 cm²
22
What shape has a volume?
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(D)
Sphere
23
If you have a shape that isn't a standard shape, what's one way to calculate its area?
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(C)
Try to divide the shape into simpler shapes.
24
Which of the following best describes 'area'?
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(C)
The amount of surface covered by a 2D shape
25
What is the volume of a cone with a radius of 3 cm and a height of 5 cm?
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(A)
47.1 cm³
26
What geometric shape is used to find the area of a circle?
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(D)
Circle
27
What is the perimeter of a square with sides of 9cm?
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(B)
36 cm
28
What is the difference between circumference and perimeter?
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(B)
Circumference is the perimeter of a circle, perimeter is for other shapes.
29
What does 'π' represent in geometric calculations?
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(C)
The ratio of a circle's circumference to its diameter
30
How do you determine the area of a compound shape made of rectangles?
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(B)
Split the shape into smaller rectangles, calculate the area of each, and sum the areas.
31
A rectangle has an area of 72 cm² and a length of 9 cm. What is the width?
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(B)
8 cm
32
What is the area of a triangle with base 10cm and height 8cm?
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(A)
40 cm²
33
How is the area of a parallelogram calculated?
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(C)
Base * height
34
A solid cone has base radius of 5.3 cm and a height of 6.1 cm. Calculate the total surface area of a hemisphere with radius 7.1 cm and diameter 4.7 cm.
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(B)
287.6 cm²
35
What is the area of a square with sides of 9cm?
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(C)
81 cm²
36
A parallelogram has a base of 10cm and a height of 5cm. If the base is increased by 2cm, what is the new area?
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(B)
60 cm²
37
What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm?
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(C)
60 cm³
38
A trapezium has an area of 24 cm². The parallel sides are 4 cm and 8 cm. What is the height?
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(B)
4 cm
39
Which of these statements about calculating area are correct?
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A
C
D
40
What type of units do we use to express the area of a shape?
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(C)
Square units
41
The volume of a cylinder is 400 cm³. Its radius is 5.3 cm. Calculate its height.
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(A)
4.5 cm
42
The area of a trapezium can be found using the formula: 1/2 * (a+b) * h. What do 'a' and 'b' represent?
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(B)
The two parallel sides.
43
If you double the base of a triangle and keep the height the same, how does the area change?
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(B)
The area doubles.
44
Which of the following is a unit used to measure volume?
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(C)
cm³
45
The surface area of a hemisphere has an area of 9π cm². Calculate the curved surface area.
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(C)
18π cm²
46
A rectangular garden is 10 meters long and 7 meters wide. How many meters of fencing are needed to enclose the garden?
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(B)
34 meters
47
What information is needed to find the area of a triangle?
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A
B
48
Which shapes have two parallel sides?
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A
C
D
49
The area of a rectangle is found by multiplying its length and width. What type of units would be the correct for area?
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(B)
Square units
50
What is the term for the distance around a 2D shape?
